In the 2015 federal election, 39

In the 2015 federal election, 39.47% of the electorate voted for the Liberal party; 31.89% for the Conservative party, 19.71% for the NDP, 4.66% for the Bloc Quebecois, and 3.45% for the Green Party.

Suppose that, in a random sample of 23 University of Ottawa students, only 3 indicated a preference for the Conservatives. Test whether this is sufficient evidence to indicate that the level of support for the Conservatives among University of Ottawa students is lower than the 31.98% share of the popular votes in 2015. Use the .05 level of significance and show how the researcher would calculate the p-value for this test.